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Question: Answered & Verified by Expert
The negation of the Boolean expression x~y is equivalent to:
MathematicsMathematical ReasoningJEE MainJEE Main 2020 (05 Sep Shift 1)
Options:
  • A (~xy)(~x~y)
  • B (xy)(~x~y)
  • C (x~y)(~xy)
  • D (xy)(~x~y)
Solution:
1431 Upvotes Verified Answer
The correct answer is: (xy)(~x~y)

Negation of x~y

~x~y

~x~y~yx

~x~y~~yx (using De'Morgan's laws)

xy~y~x

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